In case of a mixed-mode simulation (5.20) is replaced by

with being the node voltage of the circuit node connected to the device. This can be interpreted as a zero-valued voltage source connecting the circuit node to the device (see Fig. 5.3). The constitutive relation for follows from KCL and reads

f_{} = I_{Di} + I_{C} = 0 |
(5.28) |

with *I*_{Di} being the currents of the compact models connected to the same
node. In terms of the familiar MNA stamps

j_{x, y} |
I_{C} |
r | ||

-1 |
f_{}^{k} |
|||

1 | -1 |
f_{}^{k} |
||

I_{C} |
-1 |
f_{IC}^{k} |

For the same one-dimensional contact the relevant part of the system matrix reads

j_{x, y} |
n_{0} |
I_{C} |
r | |||

-1 | 1 |
f_{}^{k} |
||||

n_{0} |
-1 |
f_{n0}^{k} |
||||

-1 | 1 |
f_{}^{k} |
||||

I_{C} |
- | - | -1 |
f_{IC}^{k} |
||

-1 |
f_{}^{k} |

Eliminating , *n*_{0}, , and *I*_{C} yields the desired result

j_{x, y} |
r | |

- |
- f_{}^{k} + f_{IC}^{k} + f_{n0}^{k . }
- ^{ . }(f_{}^{k} + f_{}^{k}) |

1999-05-31